Question

4.) Find the accelerations (magnitude and direction) of each of the following systems. Show your work for credit. [That is at bare minimum: (i) draw appropriate free body diagrams; (ii) write down Newton's second law; (iii) solve the resulting equation(s) to find the acceleration.]

c.) A block of mass 10 kg hanging from a spring with spring constant ks= 1000 N / m that is attached to the roof of a moving elevator and is stretched 5 cm beyond its equilibrium length.

d.) a block of mass 10 kg that is being pulled north with a
force of 20 Newton direction a an angle of 30**°**
below the horizontal. The block is on a horizontal surface with
coefficient of kinetic friction *μs* = 0.2.

e.) A block of mass 10 kg that is being pulled north with a
force of 30 Newton directed at an angle of 30**°**
below the horizontal. The block is on a horizontal surface with
coefficient of kinetic friction *μk* = 0.1 and coefficient
of static friction *μs* = 0.2.

f.) Two 5 kg blocks connected by a rope with the easter-most
block being pulled east by a horizontal force of 20 Newtons. The
blocks are on a horizontal surface with coefficient of kinetic
friction *μk* = 0.1 and the coefficient of static friction
*μs* = 0.2.

Answer #1

A boy with a mass of 30.0 kg is sliding down a snow covered
hillside at an angle of 25.00 degrees to the horizontal. Find the
boy's acceleration if the coefficient of kinetic friction is
0.17.
A box with a mass 26.50 kg if being pulled by three forces : F1
46.25 N , F2 10.00 N [164.50]o and F3 9.06 N
[229.85]o. Determine the acceleration of the box. (Note
direction is not required, quote your answer to 2 decimal...

A block of mass 200g is sitting on top of another block of three
times that mass which is on a horizontal frictionless surface and
is attached to a horizontal spring. The coefficient of static
friction between the blocks is 0.2. The lower block is pulled until
the attached spring is stretched by 5.0cm and is then released from
rest. Find the maximum value of the spring constant for which the
upper block does not slip on the lower block.

A 3.0-kg block sits on top of a 5.0-kg block which is on a
horizontal surface. The 5.0-kg block is pulled to the right with a
force F⃗ . The coefficient of static friction between all
surfaces is 0.60 and the kinetic coefficient is 0.37.
a) What is the minimum value of F
needed to move the two blocks?
b) If the force is 10% greater than your answer for (a), what is
the acceleration of each block?

A 5.00-kg 5.00-kg block is sent up a ramp inclined at an angle
?= 25.0 ∘ θ=25.0∘ from the horizontal. It is given an initial
velocity ? 0 =15.0 m/s v0=15.0 m/s up the ramp. Between the block
and the ramp, the coefficient of kinetic friction is ? k =0.50
μk=0.50 and the coefficient of static friction is ? s =0.60.
μs=0.60. What distance ? D along the ramp's surface does the block
travel before it comes to a stop?

A heavy sled is being pulled by two people as shown in the
figure. The coefficient of static friction between the sled and the
ground is μs = 0.619, and the kinetic friction coefficient is μk =
0.459. The combined mass of the sled and its load is m = 366 kg.
The ropes are separated by an angle φ = 22°, and they make an angle
θ = 31.8° with the horizontal. Assuming both ropes pull equally
hard, what...

A stationary box of mass 9.5 kg is being pushed by a force 12.9
N at an angle θ = 31.2o with respect to the horizontal.
The coefficient of static friction between box and surface is
μs= 0.30. Calculate the magnitude of the MAXIMUM
POSSIBLE static friction force which can be generated, to 2
s.f.

The three diagrams below show a block of mass m being
pulled or pushed at constant acceleration along a table with a
force F. The coefficient of kinetic friction is
μk. What is the magnitude of the friction force in each
case? Give your answer in terms of the pushing force F,
m, μk, and the angle θ.
case
(i)
fk
=
case
(ii)
fk
=
case
(iii)
fk
=

Two blocks are positioned on surfaces, each inclined at the same
angle of 45.4 degrees with respect to the horizontal. The blocks
are connected by a rope which rests on a frictionless pulley at the
top of the inclines as shown, so the blocks can slide together. The
mass of the black block is 4.22 kg, and the coefficient of kinetic
friction for both blocks and inclines is 0.370. Assume static
friction has been overcome and that everything can slide....

A block with mass m1 = 8.8 kg is on an incline with
an angle θ = 40° with respect to the horizontal. For the first
question there is no friction, but for the rest of this problem the
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μs = 0.418.
1. When there is no friction, what is the magnitude of the
acceleration of the block?
2. Now with friction, what is the magnitude of the acceleration
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A 1 Kg object is on a horizontal surface and moves as it is
being pulled by a string with tension 3.4N. The string is kept at
45 degrees with the vertical (north-east direction). The kinetic
friction coefficient between object and floor is 0.2. Find the work
done by friction on the object as the object moves horizontally
1m.

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